Q: What are the factor combinations of the number 343,104,013?

 A:
Positive:   1 x 3431040137 x 4901485917 x 20182589119 x 2883227193 x 17777411351 x 2539633281 x 10457314939 x 22967
Negative: -1 x -343104013-7 x -49014859-17 x -20182589-119 x -2883227-193 x -1777741-1351 x -253963-3281 x -104573-14939 x -22967


How do I find the factor combinations of the number 343,104,013?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 343,104,013, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 343,104,013
-1 -343,104,013

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 343,104,013.

Example:
1 x 343,104,013 = 343,104,013
and
-1 x -343,104,013 = 343,104,013
Notice both answers equal 343,104,013

With that explanation out of the way, let's continue. Next, we take the number 343,104,013 and divide it by 2:

343,104,013 ÷ 2 = 171,552,006.5

If the quotient is a whole number, then 2 and 171,552,006.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 343,104,013
-1 -343,104,013

Now, we try dividing 343,104,013 by 3:

343,104,013 ÷ 3 = 114,368,004.3333

If the quotient is a whole number, then 3 and 114,368,004.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 343,104,013
-1 -343,104,013

Let's try dividing by 4:

343,104,013 ÷ 4 = 85,776,003.25

If the quotient is a whole number, then 4 and 85,776,003.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 343,104,013
-1 343,104,013
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

17171191931,3513,28114,93922,967104,573253,9631,777,7412,883,22720,182,58949,014,859343,104,013
-1-7-17-119-193-1,351-3,281-14,939-22,967-104,573-253,963-1,777,741-2,883,227-20,182,589-49,014,859-343,104,013

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 343,104,013:


Ask a Question